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PLEASE HELP!!! 20 POINTS!!!

dimulka [17.4K]

18*18=324
16^2+8^2=320=18ish
16^2+18^2=580=22ish
=364
=19.07m^2

6 0

3 years ago

Read 2 more answers

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Digiron [165]

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls. 3 are selected. There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

3 0

3 years ago

Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data

Oksanka [162]

Answer:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [( $x - x_{m}$ ) × ( $y - y_{m}$ )] ÷ √ [Σ $(x - x_{m})^{2}$ × Σ $(y - y_{m}) ^{2}$ ]

x = Data points in Data set x

y = Data points in Data set y

$x_{m}$ = Mean of Data set x

$y_{m}$ = Mean of Data set y

Now put all the values and sumation it as of given in the formula

Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2

Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4

Now put the values in the equation

r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ $(x - 4.2)^{2}$ × Σ $(y - 16.4) ^{2}$ ]

Now put every single value of x and y and after we will get the required Correlation coefficient.

And that is Correlation coefficient of the following data is 0.37

Learn more about Correlation coefficient here -brainly.com/question/16455048

#SPJ10

7 0

2 years ago

A list of consecutive integers begin withs with m and ends with n. If n-m = 66, how many integers are in the list?

malfutka [58]

Answer:

2

Step-by-step explanation:

5 0

3 years ago

The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24

olga55 [171]

Answer:

The answer would be 28,800

Step-by-step explanation:

5 0

4 years ago